J. Mattioli, DIFFERENTIAL RELATIONSHIPS OF OPERATIONS IN MATHEMATICAL MORPHOLOGY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 316(9), 1993, pp. 879-884
In mathematical morphology and in particular in granulometric analysis
, we are led to study the evolution of morphological tubes and granulo
metric curves. By using some appropriate notions of set-valued analysi
s and non-regular analysis, this Note establishes differential relatio
ns which govern these tubes and these curves.